Principal frequency of Δ∞ as limit of Rayleigh quotients in Orlicz spaces
DOI10.1080/00036811.2019.1652737zbMath1462.35224OpenAlexW2967197675MaRDI QIDQ4987133
Mihai Mihăilescu, Andrei Grecu
Publication date: 28 April 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2019.1652737
Variational inequalities (49J40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Methods involving semicontinuity and convergence; relaxation (49J45) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
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- An eigenvalue problem with variable exponents
- Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
- The behaviour of the \(p(x)\)-Laplacian eigenvalue problem as \(p(x)\rightarrow \infty \)
- An introduction to \(\Gamma\)-convergence
- The \(\infty\)-eigenvalue problem
- Limit as \(p\to \infty \) of \(p\)-Laplace eigenvalue problems and \(L^\infty \)-inequality of the Poincaré type.
- The Robin eigenvalue problem for the \(p(x)\)-Laplacian as \(p\to \infty \)
- The principal frequency of \(\Delta_\infty\) as a limit of Rayleigh quotients involving Luxemburg norms
- The limiting Behavior of Solutions to Inhomogeneous Eigenvalue Problems in Orlicz-Sobolev Spaces
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
- Γ-Convergence of Inhomogeneous Functionals in Orlicz–Sobolev Spaces
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients